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Finding the Fourth Proportional to 192,461.73, 265,591.64 and 106,419.21

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Solution

The fourth proportional to 192,461.73, 265,591.64 and 106,419.21 is: 146,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,461.73 : 265,591.64 = 106,419.21 : x
  2. Step 2: Convert to fraction form
    192,461.73/265,591.64 = 106,419.21/x
  3. Step 3: Cross multiply
    192,461.73x = 265,591.64 × 106,419.21
  4. Step 4: Simplify right side
    192,461.73x = 28,264,052,511.40
  5. Step 5: Solve for x
    x = 28,264,052,511.40/192,461.73
  6. Step 6: Final answer
    x = 146,855.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.